## Elements of Natural Philosophy |

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Page 2

... once that ( as the angle between the radii is equal to the angle between the

tangents , and as the ineasure of an angle is the 0 : 1 ratio of the arc to the radius

, $ 54 ) r = s , and therefore is the measure of the curvature .

of ...

... once that ( as the angle between the radii is equal to the angle between the

tangents , and as the ineasure of an angle is the 0 : 1 ratio of the arc to the radius

, $ 54 ) r = s , and therefore is the measure of the curvature .

**Hence**the curvatureof ...

Page 4

pulley B moves in the same direction , through half the space . ( 2 ) If there be two

cords and two pulleys , the ends AA ' being fixed , and the other end of AB being

...

**Hence**, when P moves through any space in B the direction of the cord , thepulley B moves in the same direction , through half the space . ( 2 ) If there be two

cords and two pulleys , the ends AA ' being fixed , and the other end of AB being

...

Page 8

represented by the third side , OC , of the triangle QAÇ .

the same time , velocities represented by OA , AC , and Co , the sides of a ...

**Hence**the resultant of any two velocities as OA , AC , in the figure , is a velocityrepresented by the third side , OC , of the triangle QAÇ .

**Hence**if a point have , atthe same time , velocities represented by OA , AC , and Co , the sides of a ...

Page 9

Acceleration is variable when the point's velocity does not receive equal

increments in successive equal periods of time . It is then measured by the

increment of ...

**Hence**if v be the change in the velocity during the interval + , v = at , or a = 33.Acceleration is variable when the point's velocity does not receive equal

increments in successive equal periods of time . It is then measured by the

increment of ...

Page 10

equal to ( M V or 7 geom . 7 Ř R ' and this ( $ 35 ) is the amount of the

acceleration in the circular path ABD . 37. The whole acceleration in any direction

is the ...

**Hence**the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is thereforeequal to ( M V or 7 geom . 7 Ř R ' and this ( $ 35 ) is the amount of the

acceleration in the circular path ABD . 37. The whole acceleration in any direction

is the ...

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium expression figure fixed fluid force friction give given gravity harmonic Hence increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire